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Phys. Rev. Lett. 77, 4003–4006 (1996)

Universal Critical Behavior in Two-Dimensional Coupled Map Lattices

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Philippe Marcq1, Hugues Chaté1,2, and Paul Manneville1,2
1Service de Physique de l'Etat Condensé, Commissariat à l'Energie Atomique–Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette, France
2LadHyX–Laboratoire d'Hydrodynamique, Ecole Polytechnique, 91128 Palaiseau, France

Received 20 October 1995; published in the issue dated 4 November 1996

We numerically investigate the critical properties of nonequilibrium continuous phase transitions in two-dimensional, synchronously updated lattices of coupled chaotic maps. A finite-size scaling analysis provides evidence for the existence of a new universality class, characterized by a correlation-length exponent ν = 0.89±0.03<νIsing = 1.0, while the exponent ratios β/ν, γ/ν, and the amplitude ratio U* are consistent with the 2D Ising universality class. The standard value of ν is recovered for asynchronous updating rules.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4003
DOI:
10.1103/PhysRevLett.77.4003
PACS:
05.45.+b, 05.70.Jk, 47.27.Cn, 64.60.Cn